Answer:
The solution for this differential equation is
Step-by-step explanation:
This differential equation is a separable First-Order ordinary differential equation.
We know this because a first-order differential equation is separable if and only if it can be written as
where <em>f</em> and <em>g</em> are known functions.
And we have
To solve this differential equation we need to integrate both sides
We can make a new constant of integration
We need to isolate y
We have the initial conditions y(0)=2 so we can find the value of the constant of integration for
For there is not solution for in the domain of real numbers.
The solution for this differential equation is